5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?
5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 8CT: A board of directors consisting of eight members is to chosen from a pool of 30 candidates. The...
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5 members from the math department, 5 members from the biology department, 5 members from the English department, 5 members from the history department, and 5 members from the physics department have declared themselves candidates for three vacant faculty senate seats. If the three seats must be filled by three members from three different departments, in how many ways can the vacant seats be filled?
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